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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 801 · 40 questions
TalentJR

Engineer's tip (Both sides turn the same): Turning effect = force × distance from the fulcrum. Balance: load × load distance = effort × effort distance. Missing value = the known side’s product ÷ the other number on its own side.

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  1. 1.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is 450 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (520 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  7. 7.⚖️ A seesaw balances. Zoya (540 N) sits 2 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 240 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 140 N at 40 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Kabir (110 N) sits 2 m from the pivot on one side; Ravi (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 80 N at 30 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  17. 17.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (440 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is 600 N at 40 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Asha (680 N) sits ? m from the pivot on one side; Arjun (680 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 140 N at 50 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 100 N at 30 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Zoya (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  31. 31.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (480 N) sits 1 m from the pivot on one side; Kabir (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (450 N) sits 2 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (600 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 480 N at 30 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 400
  2. 90
  3. 390
  4. 420
  5. 420
  6. distance from fulcrum
  7. 360
  8. 120
  9. 40
  10. 120
  11. 70
  12. 1
  13. 60
  14. 560
  15. 700
  16. closer to the pivot
  17. 570
  18. 4
  19. 70
  20. 400
  21. 10
  22. 120
  23. 200
  24. 4
  25. 10
  26. 70
  27. 50
  28. 50
  29. 2
  30. turning effects match
  31. 130
  32. 20
  33. 3
  34. 630
  35. 260
  36. 510
  37. 700
  38. 300
  39. 200
  40. 180

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